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Original Articles

A General Design Approach for Post-tensioned Timber Subassemblies

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Pages 2955-2970 | Received 25 Jul 2018, Accepted 17 Aug 2019, Published online: 17 Sep 2019
 

ABSTRACT

Structural systems with ductile connections have been proposed for multi-storey timber buildings based on research conducted over the last decade. The members designed with unbonded post-tensioning for recentering and energy dissipation through the mild steel elements exhibit almost complete re-centering capacity and significant energy dissipation without any structural damage. This paper describes the general design procedure developed following extensive experimental and numerical investigations of subassemblies. With similar features and geometric configurations, the moment capacities of different types of subassemblies subjected to either unidirectional or bidirectional loading condition can be calculated using the same scheme with appropriate values for connection interfaces.

List of Symbols

c=

Depth of neutral axis

θ imp=

Imposed rotation at the rocking interface

εpt=

Strain in the post-tensioning tendons

Δpt=

Deformation in the post-tensioning tendons

lub=

Unbonded length of post-tensioning tendons

εs=

Strain in the mild steel or energy dissipaters

Δs=

Deformation in the energy dissipaters

l ub=

Unbonded length of energy dissipaters

C=

Total compression force

Cs=

Compression force in energy dissipaters

Ts=

Tension force in energy dissipaters

Tpt=

Tension force in post-tensioning tendons

λ=

Re-centering ratio = (Mpt+MN)/Ms

Mpt=

Moment contribution from post-tensioning

Ms=

Moment contribution from energy dissipaters

MN=

Moment contribution from axial load

α0=

Steel reinforcement over-strength used as minimum value of re-centering ratio

lw=

Width of wall

xpt=

Distance of tendon from the centre of wall

εpt,t=

Strain in post-tensioning tendons in tension

Δpt,t=

Deformation in post-tensioning tendons in tension

εpt,c=

Strain in post-tensioning tendons in compression

Δpt,c=

Deformation in post-tensioning tendons in compression

εpt,i=

Strain in post-tensioning tendon due to initial prestressing

εy=

Yield strain in post-tensioning tendon

Tpt,i=

Initial tension in post-tensioning tendons

Apt=

Area of post-tensioning tendons

Ept=

Modulus of elasticity of post-tensioning tendons

ρpt=

Ratio of initial prestressing to yield stress of tendons

εt=

Strain in timber extreme fibre

L cant=

Shear span of member

ϕdec=

Decompression curvature

N=

Axial load on member

Econ=

Modulus of elasticity of connection

b=

Width of member section

h=

Height of member section

fc=

Compressive stress of timber

εy,t=

Yield strain of timber

Ct=

Compressive force in timber

As=

Area of energy dissipaters

ϕ=

Reduction factor used in design

Mn=

Nominal moment (capacity)

M=

Moment demand

He=

Effective height of the structure

Acknowledgments

The research described in this paper was financially supported by Structural Timber Innovation Company (STIC). FPInnovations, Canada, currently holds the intellectual property rights of Post-tensioned Timber systems in North America. The LVL used for testing was supplied by Carter Holt Harvey, New Zealand. Structural testing was performed at University of Canterbury, Christchurch. Three unnamed reviewers helped improve the quality of the paper significantly. All help and supports are gratefully acknowledged.

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